A method for generating a symmetrical section of a seal based on parameterized modeling and orientation coupling

Abstract

The application provides a generation method of a solstice seal based on parameterized modeling and azimuth coupling symmetry, and relates to the technical field of seal design. The generation method of the solstice seal determines a yin-yang background color according to astronomical characteristics of solstice origin and a parameter according to a season where the solstice is located, and generates a normalized boundary curve. The generation method calculates a solstice prevailing wind azimuth based on meteorological data. The generation method divides a main area and a remaining area according to a season parameter, and calculates character coordinates. The generation method applies a vertical symmetry criterion to layout solstice characters in the remaining area, and verifies vertical symmetry and minimum spacing constraints. The application can automatically generate a solstice seal meeting the requirements of traditional culture according to scientific genes, cultural backgrounds and natural characteristics of the 24 solar terms, through accurate modeling and optimization calculation.

Description

Technical Field

[0001] This invention relates to the field of seal design technology, and in particular to a parametric seal generation method that incorporates elements of traditional Chinese culture (the 24 solar terms), specifically a solar term seal generation method based on parametric modeling and symmetrical orientation coupling. Background Technology

[0002] Currently, designs related to the solar terms mostly focus on the expression of graphics and symbols. However, how to achieve the automatic generation and optimization of solar term symbols through parametric modeling methods, especially how to reasonably combine the shapes of the four seasons and the prevailing wind direction to enhance the cultural connotation of the design, has not yet been fully explored. Summary of the Invention

[0003] In view of this, the purpose of this invention is to propose a method for generating solar term seals based on parametric modeling and directional coupling symmetry. This method can automatically generate solar term seals that conform to traditional cultural requirements through precise modeling and optimization calculations, based on the scientific genes, cultural background, and natural characteristics of the twenty-four solar terms. This method not only emphasizes the artistry of the symbols but also enhances the functionality and operability of the seal design, making it particularly suitable for the design and production of high-quality cultural products.

[0004] To achieve the above objectives, the present invention provides the following technical solution:

[0005] To achieve the above objectives, in a first aspect, the present invention provides a method for generating solar term stamps based on parametric modeling and directional coupling symmetry, comprising the following steps:

[0006] The yin-yang background color is determined based on the astronomical characteristics of the origin of the solar terms, and the parameters are determined based on the season in which the solar terms occur. Generate normalized boundary curves ;

[0007] Calculate the prevailing wind direction for each solar term based on meteorological data. ;

[0008] According to seasonal parameters Divide the main region and the remaining region, and calculate the text coordinates. , ;

[0009] Apply the vertical symmetry principle to the layout of the solar term text in the remaining area to verify the vertical symmetry and minimum spacing constraints.

[0010] As a further aspect of the present invention, when determining the yin-yang background color and the seasonal determination parameters of the solar term, the determination is based on the extreme characteristics of the daytime length of the winter solstice and summer solstice, the origin of the solar term. If the solar term number is odd, the yin-yang background color is white; if the solar term number is even, the yin-yang background color is red.

[0011] As a further aspect of the present invention, a normalized boundary curve is generated. , by seasonal parameters Control, representing spring, autumn, winter, and summer respectively:

[0012] spring( (circular): boundary curve is , ,in, The radius is the circle's radius;

[0013] autumn( (square): Boundary curves satisfy ,in, , It is half the length of the square;

[0014] summer( (Scale beam shape): with rectangular boundaries. Aspect Ratio Take a fixed value, such as ;

[0015] winter( (Steel weight shape): The boundary is a trapezoid, and the vertex set is... ,satisfy ,in, , The bottom half-width, It is half the width of the top bottom. For height.

[0016] As a further aspect of the present invention, a normalized boundary curve is generated. This also includes establishing a parameter constraint system: reference radius. Normalization, take To ensure that different shapes and sizes are consistent.

[0017] As a further aspect of the present invention, when calculating the prevailing wind direction for each solar term based on meteorological data, the wind direction frequency for each solar term in eight directions (north, northeast, east, southeast, south, southwest, west, and northwest) is calculated based on meteorological data observation records for at least 10 consecutive years. The formula for calculating the wind direction frequency is as follows:

[0018] ,

[0019] in, The number of times a certain wind direction occurs within the solar term period; This represents the total number of valid observations within the solar term period.

[0020] The prevailing wind direction is determined by the direction with the highest frequency, and among those with the same frequency, the direction with the highest annual average wind speed is selected.

[0021] As a further aspect of the present invention, the method for generating solar term seals uses Small Seal Script as the font for engraving the names of the twenty-four solar terms in the solar term seals.

[0022] As a further aspect of the present invention, when applying the vertical symmetry principle to arrange the solar term text in the remaining area, the radius of the symbol envelope circle is defined. Collision pre-detection: ,

[0023] like This will trigger optimization.

[0024] As a further aspect of the present invention, when verifying the vertical symmetry and minimum spacing constraints, the golden ratio objective function is calculated iteratively:

[0025]

[0026] The validation included in the symbol layout is as follows:

[0027] Minimum Spacing Criterion:

[0028] ;

[0029] Engraving process constraints: cutter head diameter .

[0030] Secondly, this invention also provides an application of a method for generating solar term seals based on parametric modeling and directional coupling symmetry in cultural heritage products, including:

[0031] The background color is dynamically generated: odd-numbered solar terms have a white background, and even-numbered solar terms have a red background;

[0032] Small Seal Script Engraving: Using the standard Small Seal Script character library of Qin bamboo slips, the seals for the twenty-four solar terms were designed.

[0033] Thirdly, this invention also provides an application of the solar term stamp generation method based on parametric modeling and directional coupling symmetry in extended scenarios, applicable to:

[0034] Parametric layout of oracle bone script / Dongba script in irregular seals.

[0035] Fourthly, the present invention also provides a solar term stamp product, generated by a solar term stamp generation method based on parametric modeling and directional coupling symmetry, wherein:

[0036] Layout compliance rate ≥ 99%;

[0037] Material utilization rate ≥ 89%;

[0038] The orientation error is ≤2.5.

[0039] Compared with existing technologies, the solar term stamp generation method proposed in this invention, based on parametric modeling and directional coupling symmetry, has the following beneficial effects:

[0040] This invention solves the problems of inefficiency and error accumulation caused by the reliance on manual experience in traditional seal design through parametric modeling and algorithm constraints. It dynamically generates geometric shapes by driving boundary functions with seasonal parameters, replacing manual drawing, and uses a normalized reference radius to ensure dimensional consistency, reduce redundant calculations, and shorten the design cycle.

[0041] This invention also utilizes a dynamic symmetrical layout algorithm combined with a multi-verification system. It prevents symbol overlap using the minimum spacing criterion, enhances aesthetic proportions using the golden ratio error tolerance, and ensures symbols do not cross boundaries using boundary collision pre-detection, thereby improving the layout compliance rate when generating solar term seals. During layout, odd-numbered solar term numbers have a white background, while even-numbered numbers have a red background, visually reflecting the Yin-Yang concept of extreme changes at the winter / summer solstice. Simultaneously, it uses the standard small seal script font library from Qin bamboo slips to engrave the solar term names, restoring the historical context of "standardized writing" and enhancing cultural authenticity. User surveys show that this improves cultural recognizability.

[0042] This invention also achieves mathematical modeling through parameterized boundary functions, integrates ancient astronomical observation logic through prevailing wind orientation mapping, reduces errors in the layout of cultural symbols, and ensures that the design is flexible and not rigid. The solar term seal generation method of this invention can be extended to other traditional cultural symbols, achieves digital preservation through parameterized modeling, and realizes efficient, accurate, and culturally harmonious design of solar term seals through parameterized modeling, orientation coupling, and symmetrical layout.

[0043] These or other aspects of this application will become more apparent from the following description of embodiments. It should be understood that the foregoing general description and the following detailed description are exemplary and explanatory only, and are not intended to limit the application. Attached Figure Description

[0044] To more clearly illustrate the technical solutions in the embodiments of the present invention or related technologies, the accompanying drawings used in the description of the exemplary embodiments or related technologies will be briefly introduced below. The drawings are used to provide a further understanding of the present invention and constitute a part of the specification. They are used together with the embodiments of the present invention to explain the present invention and do not constitute a limitation thereof. In the drawings:

[0045] Figure 1 This is a flowchart of a method for generating solar term stamps based on parametric modeling and directional coupling symmetry, according to an embodiment of the present invention.

[0046] Figure 2 This is a schematic diagram of the technical architecture of the solar term stamp generation method based on parametric modeling and directional coupling symmetry according to an embodiment of the present invention. Detailed Implementation

[0047] The present application will now be further described in conjunction with the accompanying drawings and specific embodiments. It should be noted that, without conflict, the various embodiments or technical features described below can be arbitrarily combined to form new embodiments.

[0048] To make the objectives, technical solutions, and advantages of the present invention clearer, the embodiments of the present invention will be further described in detail below with reference to specific examples and the accompanying drawings. It should be understood that the specific embodiments described herein are merely illustrative and are not intended to limit the scope of this application.

[0049] It should be noted that all uses of "first" and "second" in the embodiments of the present invention are for the purpose of distinguishing two different entities or different parameters with the same name. Therefore, "first" and "second" are merely for convenience of expression and should not be construed as limiting the embodiments of the present invention. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion, such as other steps or units inherent in a process, method, system, product, or device that includes a series of steps or units.

[0050] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0051] The flowchart shown in the attached diagram is for illustrative purposes only and does not necessarily include all content and operations / steps, nor does it necessarily have to be performed in the order described. For example, some operations / steps can be broken down, combined, or partially merged, so the actual execution order may change depending on the actual situation.

[0052] The following detailed description of some embodiments of this application is provided in conjunction with the accompanying drawings. Unless otherwise specified, the following embodiments and features can be combined with each other.

[0053] Since the Twenty-Four Solar Terms are a system of time knowledge and practice formed in ancient my country through observation of the sun's annual movement, they are essentially a method of time measurement, a lunisolar calendar that takes into account the movements of the sun and moon, used to guide daily life, agriculture, and reflecting changes in natural rhythms. Traditional solar term seal designs largely rely on manual labor, lack unified design standards, and struggle to systematically integrate astronomical, meteorological, and cultural elements related to the solar terms. Therefore, this invention proposes a method for generating solar term seals based on parametric modeling and directional coupling symmetry. This method systematically integrates solar terms, prevailing wind directions, seasonal shapes, and Yin-Yang philosophy through parametric modeling and directional coupling symmetry. Based on the scientific foundation, cultural background, and natural characteristics of the Twenty-Four Solar Terms, this invention can automatically generate solar term seals that conform to traditional cultural requirements through precise modeling and optimization calculations. This method not only emphasizes the artistry of the symbols but also enhances the functionality and operability of seal design, making it particularly suitable for the design and production of high-quality cultural products.

[0054] See Figures 1 to 2 As shown, an embodiment of the present invention provides a method for generating solar term stamps based on parametric modeling and directional coupling symmetry, including the following steps:

[0055] Step S10: Determine the Yin-Yang background color and the parameters based on the astronomical characteristics of the origin of the solar terms and the season in which the solar terms occur. Generate normalized boundary curves ;

[0056] Step S20: Calculate the prevailing wind direction for the solar term based on meteorological data. ;

[0057] Step S30: Based on seasonal parameters Divide the main region and the remaining region, and calculate the text coordinates. , ;

[0058] Step S40: Apply the vertical symmetry principle to the remaining area to lay out the solar term text, and verify the vertical symmetry and minimum spacing constraint.

[0059] In this embodiment, the yin-yang background color and the seasonal determination parameters of the solar terms are determined based on the extreme characteristics of daylight length at the winter and summer solstices, the origins of the solar terms. If the solar term number is odd, the yin-yang background color is white; if the solar term number is even, the yin-yang background color is red. Among the twenty-four solar terms, the solar term numbers are sequentially assigned, for example: the solar term "Beginning of Spring" is numbered 1, "Spring Rain" is numbered 2, "Awakening of Insects" is numbered 3, and so on.

[0060] In step S10, the normalized boundary curve is generated. , by seasonal parameters Control, representing spring, autumn, winter, and summer respectively; among them, according to the record in "Huainanzi·Shize Xun", "The system of yin and yang, the great system has six degrees: heaven is the rope, earth is the standard, spring is the compass, summer is the balance, autumn is the square, and winter is the weight", in this embodiment, the shapes of the seals for spring, autumn, winter, and summer are set according to the shapes of the compass, square, weight, and balance of the four seasons. Specifically:

[0061] spring( (circular): boundary curve is , ,in, The radius is the circle's radius;

[0062] autumn( (square): Boundary curves satisfy ,in, , It is half the length of the square;

[0063] summer( (Scale beam shape): with rectangular boundaries. Aspect Ratio Take a fixed value, such as ;

[0064] winter( (Steel weight shape): The boundary is a trapezoid, and the vertex set is... ,satisfy ,in, , The bottom half-width, It is half the width of the top bottom. For height.

[0065] Among them, the normalized boundary curve is generated. This also includes establishing a parameter constraint system: reference radius. Normalization, take To ensure that different shapes and sizes are consistent.

[0066] This invention solves the problems of inefficiency and error accumulation caused by the reliance on manual experience in traditional seal design through parametric modeling and algorithm constraints. It dynamically generates geometric shapes by driving boundary functions with seasonal parameters, replacing manual drawing, and uses a normalized reference radius to ensure dimensional consistency, reduce redundant calculations, and shorten the design cycle.

[0067] See Figure 2 As shown, in the method for generating solar term seals, the engraving of the names of the twenty-four solar terms can be done using Small Seal Script as the font for engraving the names of the solar terms in the seals, or it can be done using Oracle Bone Script, Dongba Script, Traditional Chinese or Simplified Chinese, etc.

[0068] To determine the prevailing winds for each solar term, the maximum value is selected based on the frequency of wind directions in eight directions for each solar term. During data collection, daily average wind speed data for the target station is acquired. The data source is either four scheduled observations per day (e.g., 02:00, 08:00, 14:00, and 20:00 Beijing time) or hourly average observations. The collected data must include at least 10 consecutive years of observation records. When dividing the solar term periods, the precise start and end times (accurate to the minute) of each solar term are used, and the observation data is aligned according to the solar term. Wind direction frequency is calculated using the wind direction frequency calculation formula. For each solar term period, the frequency of wind directions in eight directions is obtained (…). , , , , , , , By comparing the wind direction frequencies in eight directions, the direction corresponding to the highest frequency is selected as the prevailing wind direction. As the prevailing wind direction, multiple directions have the same frequency, so the wind direction with the highest average wind speed over the years is selected as the prevailing wind direction.

[0069] In step S20, when calculating the prevailing wind direction for each solar term based on meteorological data, the wind direction frequency for each solar term in eight directions (north, northeast, east, southeast, south, southwest, west, and northwest) is calculated based on meteorological data observation records for at least 10 consecutive years. The formula for calculating the wind direction frequency is as follows:

[0070]

[0071] in, The number of times a certain wind direction occurs within the solar term period; This represents the total number of valid observations within the solar term period.

[0072] The prevailing wind direction is determined by the direction with the highest frequency, and among those with the same frequency, the direction with the highest annual average wind speed is selected.

[0073] In step S40, when applying the vertical symmetry principle to lay out the solar term text in the remaining area, the radius of the symbol envelope circle is defined. Collision pre-detection:

[0074]

[0075] like This will trigger optimization.

[0076] Specifically, when verifying the vertical symmetry and minimum spacing constraints, the golden ratio objective function is calculated iteratively:

[0077]

[0078] The validation included in the symbol layout is as follows:

[0079] Minimum Spacing Criterion: ;

[0080] Engraving process constraints: cutter head diameter .

[0081] In the solar term seal generation method of the present invention, taking the generation of solar term seal script symbols within the four seasons as an example, the coordinate system standard and key parameters for generating the solar term seal are as follows:

[0082] (1) Polar coordinates: North is 0, and increases clockwise (East = π / 2, South = π, West = 3π / 2).

[0083] (2) Cartesian coordinates: The origin is at the center of the shape, the x-axis is to the right, and the y-axis is upward (in winter, the y-axis is downward).

[0084] (3) Reference dimension: R (circle radius / rectangular semi-axis);

[0085] (4) The golden ratio Φ: The precise value is Φ = 1 + √5 / 2 ≈ 1.6180339887...; its reciprocal 1 / Φ ≈ 0.618, satisfying the relationship Φ = 1 + 1 / Φ. In this scheme, the cultural harmony of the symbol layout is ensured. The spacing ratio of the symbols is controlled to enhance the aesthetics of the layout; the shape parameters are constrained (such as the base ratio of the trapezoid c / d = 0.618) to ensure structural stability.

[0086] (5) Error tolerance: ϵ≤5%, the deviation between the actual value and the theoretical value is allowed to be no more than 5%. The layout of this cultural symbol retains design flexibility, avoids excessive rigidity, and ensures the feasibility of the design in manufacturing.

[0087] This invention also utilizes a dynamic symmetrical layout algorithm combined with a multi-verification system. It prevents symbol overlap using the minimum spacing criterion, enhances aesthetic proportions using the golden ratio error tolerance, and ensures symbols do not cross boundaries using boundary collision pre-detection, thereby improving the layout compliance rate when generating solar term seals. During layout, odd-numbered solar term numbers have a white background, while even-numbered numbers have a red background, visually reflecting the Yin-Yang concept of extreme changes at the winter / summer solstice. Simultaneously, it uses the standard small seal script font library from Qin bamboo slips to engrave the solar term names, restoring the historical context of "standardized writing" and enhancing cultural authenticity. User surveys show that this improves cultural recognizability.

[0088] Embodiments of the present invention provide an application of a method for generating solar term seals based on parametric modeling and directional coupling symmetry in cultural heritage products, including:

[0089] The background color is dynamically generated: odd-numbered solar terms have a white background, and even-numbered solar terms have a red background;

[0090] Small Seal Script Engraving: Using the standard Small Seal Script character library of Qin bamboo slips, the seals for the twenty-four solar terms were designed.

[0091] In some embodiments, the present invention also provides an application of the solar term stamp generation method based on parametric modeling and orientation coupling symmetry in extended scenarios, applicable to:

[0092] Parametric layout of oracle bone script / Dongba script in irregular seals.

[0093] In some embodiments, the present invention also provides a solar term stamp product, generated by a solar term stamp generation method based on parametric modeling and orientation coupling symmetry, wherein:

[0094] Layout compliance rate ≥ 99%;

[0095] Material utilization rate ≥ 89%;

[0096] The orientation error is ≤2.5.

[0097] This invention also achieves mathematical modeling through parameterized boundary functions, integrates ancient astronomical observation logic through prevailing wind orientation mapping, reduces errors in the layout of cultural symbols, and ensures that the design is flexible and not rigid. The solar term seal generation method of this invention can be extended to other traditional cultural symbols, achieves digital preservation through parameterized modeling, and realizes efficient, accurate, and culturally harmonious design of solar term seals through parameterized modeling, orientation coupling, and symmetrical layout.

[0098] The above are exemplary embodiments disclosed in this invention. However, it should be noted that various changes and modifications can be made without departing from the scope of the embodiments of this invention as defined by the claims. The functions, steps, and / or actions of the methods according to the disclosed embodiments described herein do not need to be performed in any particular order. Furthermore, although the elements disclosed in the embodiments of this invention may be described or claimed individually, they may be understood as multiple unless explicitly limited to a singular number.

[0099] It should be understood that, as used herein, the singular form "a" is intended to include the plural form as well, unless the context clearly supports an exception. It should also be understood that, as used herein, "and / or" refers to any and all possible combinations of one or more of the associatedly listed items. The embodiment numbers disclosed above are for descriptive purposes only and do not represent the superiority or inferiority of the embodiments.

[0100] Those skilled in the art should understand that the discussion of any of the above embodiments is merely exemplary and is not intended to imply that the scope of the invention (including the claims) is limited to these examples. Within the framework of the invention, technical features of the above embodiments or different embodiments can be combined, and many other variations of different aspects of the invention exist, which are not provided in the details for the sake of brevity. Therefore, any omissions, modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the invention should be included within the protection scope of the invention.

Claims

1. A method for generating solar term stamps based on parametric modeling and directional coupling symmetry, characterized in that, Includes the following steps: The yin-yang background color is determined based on the astronomical characteristics of the origin of the solar terms, and the parameters are determined based on the season in which the solar terms occur. Generate normalized boundary curves ; Calculate the prevailing wind direction for each solar term based on meteorological data. ; According to seasonal parameters Divide the main region and the remaining region, and calculate the text coordinates. , ; Apply the vertical symmetry principle to the layout of the solar term text in the remaining area to verify the vertical symmetry and minimum spacing constraints.

2. The method for generating solar term stamps based on parametric modeling and directional coupling symmetry as described in claim 1, characterized in that, When determining the Yin-Yang background color and the parameters for the season in which the solar term falls, the determination is based on the extreme characteristics of the daytime length at the winter and summer solstices, the origins of the solar term. If the solar term number is odd, the Yin-Yang background color is white; if the solar term number is even, the Yin-Yang background color is red.

3. The method for generating solar term stamps based on parametric modeling and directional coupling symmetry as described in claim 1, characterized in that, Generate normalized boundary curves , by seasonal parameters Control, representing spring, autumn, winter, and summer respectively: Spring, seasonal parameters Circular: Boundary curve is , ,in, The radius is the circle's radius; Autumn, seasonal parameters Square: Boundary curve satisfies ,in, , It is half the length of the square; Summer, seasonal parameters Scale beam shape: The boundary is rectangular. Aspect Ratio Take a fixed value, such as ; Winter, seasonal parameters Weight shape: The boundary is trapezoidal, and the vertex set is... ,satisfy ,in, , The bottom half-width, It is half the width of the top bottom. For height.

4. The method for generating solar term stamps based on parametric modeling and directional coupling symmetry as described in claim 3, characterized in that, Generate normalized boundary curves This also includes establishing a parameter constraint system: reference radius. Normalization, take .

5. The method for generating solar term stamps based on parametric modeling and directional coupling symmetry as described in claim 4, characterized in that, When calculating the prevailing wind direction for a solar term based on meteorological data, the wind direction frequency for each solar term is calculated based on meteorological observation records of at least 10 consecutive years, covering eight directions: north, northeast, east, southeast, south, southwest, west, and northwest. The formula for calculating the wind direction frequency is as follows: ， in, The number of times a certain wind direction occurs within a certain solar term period; This represents the total number of valid observations within the solar term period. The prevailing wind direction is determined by the direction with the highest frequency, and among those with the same frequency, the direction with the highest annual average wind speed is selected.

6. The method for generating solar term stamps based on parametric modeling and directional coupling symmetry as described in claim 1, characterized in that, When applying the vertical symmetry principle to layout the solar term text in the remaining area, define the radius of the symbol envelope circle. Collision pre-detection: ， like This will trigger optimization.

7. The method for generating solar term stamps based on parametric modeling and directional coupling symmetry as described in claim 6, characterized in that, When verifying vertical symmetry and minimum spacing constraints, the golden ratio objective function is calculated iteratively: ， The validation included in the symbol layout is as follows: Minimum Spacing Criterion: ; Engraving process constraints: cutter head diameter .

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