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84 results about "Geometric representation" patented technology

A geometric representation allows us to visualize mathematical properties. This visualization makes it easier to understand and remember the property. One geometric representation you may be familiar with is the representation of multiplication using rows and columns of dots.

Method and system for designing an impingement film floatwall panel system

A method and system for designing an impingement film floatwall panel system for a combustion chamber for a gas turbine engine comprising the steps of creating an impingement film floatwall panel knowledge base of information. The knowledge base has a plurality of design rule signals with respect to a corresponding plurality of parameter signals of associated elements of impingement film floatwall panels for a combustion chamber, wherein the knowledge base comprises at least one data value signal for each one of the plurality of design rule signals. The steps also include entering a desired data value signal for a selected one of the plurality of parameter signals of an associated element of the impingement film floatwall panels and comparing the entered desired data value signal for the selected one of the plurality of parameters with the corresponding at least one data value signal in the knowledge base for the corresponding one of the plurality of design rule signals. If the result of the step of comparing is such that the entered desired data value signal for the selected one of the plurality of parameter signals is determined to have a first predetermined relationship with respect to the corresponding at least one data value signal in the knowledge base for the selected one of the plurality of design rule signals, create signals representative of a geometric representation of the selected one of the plurality of parameter signals of the associated element of the impingement film floatwall panels.
Owner:RAYTHEON TECH CORP

Arc length parameter curve processing track generation method of free curved surface

The invention relates to an arc length parameter curve processing track generation method of a free curved surface. The method comprises following steps of smooth and continuous characteristic curve processing track extraction, given precision parameter curve processing track generation and processing track arc length parameterization. In the step (1), processing tracks generated by computer aidedmanufacturing software (CAM) are classified according to arc length characteristics; and discrete free curve processing tracks with smooth and continuous characteristics are extracted; in the step (2), fitting is performed on the extracted discrete free curve processing tracks under the given precision, so parameter curve processing tracks meeting a geometric representation precision requirementare obtained; and in the step (3), by use of the method of continuous iteration arc length re-parameterization, arc length re-parameterization is performed on the parameter curves obtained in the step(2), and finally, the arc length parameter curve free curved face processing track is obtained. According to the invention, the difficulty level in real-time interpolation and speed planning in freecurved face processing is reduced; and smoothness and processing precision in the processing process are improved.
Owner:HEFEI UNIV OF TECH

Apparatus and method for generating and using a subject-specific statistical motion model

A method and an apparatus are provided for building a subject-specific statistical model of shape variation for an anatomical structure using a set of geometric representations of shape for the anatomical structure. Each representation is associated with one of multiple subjects, each subject having a respective subset of associated representations, and each subset comprising multiple representations including a reference representation. The multiple representations correspond to different shapes of the anatomical structure arising from physical motion and/or deformation thereof. The method comprises specifying a set of shape parameters whose values, for any given representation, characterise the shape of the representation, and for each subject, representing a probability distribution of the values of the shape parameters across the subset of representations associated with that subject by a set of subject-specific distribution parameters. The method further comprises determining a regression between the subject-specific distribution parameters and the respective reference representation for each subject, and applying said determined regression to a reference representation for a new subject to determine subject-specific distribution parameters for the new subject. The subject-specific distribution parameters are then used to build a subject-specific statistical motion model for the new subject.
Owner:UCL BUSINESS PLC
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