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文件名称:Applications of Conformal Geometric Algebra in Computer Vision and Graphics
文件大小:377KB
文件格式:PDF
更新时间:2021-10-21 04:00:16
conformal ge computer vis
This paper introduces the mathematical framework of conformal
geometric algebra (CGA) as a language for computer graphics
and computer vision. Specifically it discusses a new method for pose and
position interpolation based on CGA which firstly allows for existing
interpolation methods to be cleanly extended to pose and position interpolation,
but also allows for this to be extended to higher-dimension
spaces and all conformal transforms (including dilations). In addition,
we discuss a method of dealing with conics in CGA and the intersection
and reflections of rays with such conic surfaces. Possible applications for
these algorithms are also discussed.