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Linear convolution integral method of expanded vector field

An integration method and vector field technology, applied in the field of scientific computing visualization, can solve the problems of undiscovered unstructured vector field line convolution integration method, weak expressiveness of vector amplitude, and reduced resolution of sampling points, etc., to achieve texture mapping Problems, small position range, and the effect of increasing the calculation speed

Inactive Publication Date: 2009-03-11
BEIHANG UNIV
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AI Technical Summary

Problems solved by technology

[0005] (1) The structured LIC method will cause distortion of vector field information due to factors such as resolution
by figure 2 Take the unstructured vector field shown as an example. There are two ways to convert it into a structured vector field. One method is to weight the vectors at random sampling points in the grid to obtain a vector (eg Figure 4 shown), by comparing Figure 4 b and figure 2 b It can be seen that this weighting process reduces the resolution of the sampling points, resulting in distortion of the vector field information
Another method is to make the random sampling points of the unstructured vector field fall in the center of a single grid by encrypting the grid, so as to convert the unstructured vector field into a structured vector field under the premise of ensuring the resolution, but due to random The positions of the sampling points may be very close. This processing method artificially increases the grid density, resulting in low calculation efficiency.
In addition, the formation process of the DDA curve (vector line, the same below) of the structured LIC is based on the grid unit, which means that the highest resolution of the structured LIC is the size of the grid unit, and the resolution is limited It also leads to the distortion of the vector field information
[0006] (2) The vector magnitude expressiveness of the structured LIC method is not strong
[0007] The present invention has not yet found a line convolution integration method for unstructured vector fields after searching domestic and foreign patent documents and non-patent documents

Method used

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  • Linear convolution integral method of expanded vector field
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  • Linear convolution integral method of expanded vector field

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Embodiment Construction

[0027] Concrete implementation method of the present invention is as follows:

[0028] (1) Find the next unmarked sampling point from the vector field, if not found, then normalize the LIC value of the vector field, end; if found, then enter step (2);

[0029] (2) Take the sampling point found in step (1) as the starting point, and use the DDA curve formation method based on numerical calculation to form a DDA curve. First, the forward prediction of the curve is performed from the starting point, and then the backward prediction of the curve is performed from the point. , and finally the curve obtained by the forward prediction and the curve obtained by the backward prediction are combined to form the final DDA curve.

[0030] Such as figure 2 As shown, the DDA curve forward prediction method is as follows:

[0031] Forward prediction is embodied as an iterative cycle. If it is the first cycle, the sampling point obtained in step (1) is the current DDA curve point, and the v...

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Abstract

The invention discloses a method of extended vector line convolver integral LIC,(1) Seeking next no mark sampling point from vector field(2) regarding the sampling point above found as the beginning, producing the DDA curve based on the value computation DDA curve method, first embarks forward forecast from the beginning, then embarks behind forecast from the beginning, finally merging forward forecast and behind forecast, forming the final DDA curve; (3) remarking the colored noise zone direct based on the DDA curve which forms from the circulation, calculating each LIC result in the DDA curve;(4) remarking the zone direct based on the DDA curve which forms from the circulation, according to sampling point extent, confirming overlay area, and remarking all vector field sampling point in the curve area. (5) dealing with normalized vector field LLC value. This invention both may face to the non- structure vector field, and may face to the structure vector field, strengthen the vector scope and the vector field structure performance strength, and enhance the pretreatment computation speed.

Description

Technical field [0001] The invention relates to an extended vector field line convolution integral LIC method, which belongs to the field of scientific calculation visualization. Background technique [0002] In the field of scientific computing visualization research, the purpose of vector field visualization research is to accurately and effectively display a large amount of vector field data obtained from scientific experiments, simulations, and measurements by using various means such as graphics, images, and videos provided by computers, and to support people. Multiple interactions between machines. The vector field visualization method must first ensure the accuracy and completeness of the vector field information description; secondly, it should have high computational efficiency and strong expressiveness for the structure and magnitude of the vector field; interactive processing in the vector field visualization method Mainly refers to multi-angle and multi-resoluti...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/10G06T1/00
Inventor 何兵赵沁平郝爱民王莉莉
Owner BEIHANG UNIV
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