....TWO ROBUST, POINT-IN-POLYGON TESTS BASED ON THE 4 X 4 DETERMINANT METHOD Fujio Yamaguchi, Masatoshi Niizeki, and Hiroyuki Fukunaga Waseda University Tokyo, Japan [TOPIC AREA] Computer Modeling, Method [ABSTRACT] Aided Design, Computer Graphics, Solid Computational Geometry, 4 x 4 Determinant Two...

...TWO ROBUST, POINT-IN-POLYGON TESTS BASED ON THE 4 X 4 DETERMINANT METHOD Fujio Yamaguchi, Masatoshi Niizeki, and Hiroyuki Fukunaga Waseda University Tokyo, Japan [TOPIC AREA] Computer Modeling, Method [ABSTRACT] Aided Design, Computer Graphics, Solid Computational Geometry, 4 x 4 Determinant Two...

...: Developable surfaces, plrme geometry, computational geometry, plane development, de Casteljau algorithm, conti­ nuity. 1 Introduction Developable surfaces are attractive in geometric design and represen­ tation of product surfaces since they can be simply fabricated by smoothly bending a flat plane. Simple...

... Abstract This paper deals with discrete computational geometry of motions and develops geometric construction algorithms for interpolating in-between rigid displacements. It combines concepts from the fields of kinematics and computational geometry and develops a computational framework...

..., robotic welding, and NC machining operations. collision detection computational geometry convex decomposition polyhedra virtual environment SME Proceedings of DETC98 1998 ASME Design Engineering Technical Conference September 13-16, 1998, Atlanta, GA C NU ) Collision detection becomes a key...

... forming algorithms and analyze their computational complexity. Our approach is illustrated with two examples of industrial injection molded parts. injection mold design computational geometry parting direction rapid tooling Proceedings of DETC'01 ASME 2001 Design Engineering Technical...

... are presented for the region combining process, intended to minimize the number of regions and, hence, mold pieces. Finally a test example and two industrial examples are provided which illustrate the effectiveness of the developed approach. injection mold design computational geometry parting direction...

... the convergence of a surface fitting algorithm based on the geometric complexity of the input model. geometric complexity mean curvature distribution computational geometry non-uniform rational basis spline (NURBS) coordinate metrology GEOMETRIC COMPLEXITY ESTIMATION OF CONTINUOUS SURFACES...

... smoothing schemes, none addresses both of these specific problems. This paper demonstrates the effectiveness of our method with both synthetic and real world examples. Computational Geometry Automobile Design Mesh Denoising Mesh Smoothing Surface Approximation Shape Recovery 1. Th dig pa co...

.... Shortest Path Computational Geometry Product Design Quality Assurance Proceedings of DETC 02 ASME 2002 Design Engineering Technical Conference and Computers and Information in Engineering Conference Montreal, Canada, September 29, 2002 - October 2, 2002 DETC2002/DAC-34117 F OM 1. In nee com exp...