[图书][B] Curves and surfaces for CAGD: a practical guide
GE Farin - 2002 - books.google.com
This fifth edition has been fully updated to cover the many advances made in CAGD and
curve and surface theory since 1997, when the fourth edition appeared. Material has been …
curve and surface theory since 1997, when the fourth edition appeared. Material has been …
[图书][B] Curves and surfaces for computer-aided geometric design: a practical guide
G Farin - 2014 - books.google.com
A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and
evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for …
evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for …
[图书][B] An introduction to splines for use in computer graphics and geometric modeling
RH Bartels, JC Beatty, BA Barsky - 1995 - books.google.com
As the field of computer graphics develops, techniques for modeling complex curves and
surfaces are increasingly important. A major technique is the use of parametric splines in …
surfaces are increasingly important. A major technique is the use of parametric splines in …
Collision-free and smooth trajectory computation in cluttered environments
We present a novel trajectory computation algorithm to smooth piecewise linear collision-
free trajectories computed by sample-based motion planners. Our approach uses cubic B …
free trajectories computed by sample-based motion planners. Our approach uses cubic B …
A recursive evaluation algorithm for a class of Catmull-Rom splines
PJ Barry, RN Goldman - ACM SIGGRAPH Computer Graphics, 1988 - dl.acm.org
It is known that certain Catmull-Rom splines [7] interpolate their control vertices and share
many properties such as affine invariance, global smoothness, and local control with B …
many properties such as affine invariance, global smoothness, and local control with B …
[图书][B] Minimum curvature variation curves, networks, and surfaces for fair free-form shape design
HP Moreton - 1992 - search.proquest.com
Traditionally methods for the design of free-form curves and surfaces focus on achieving a
specific level of inter-element continuity. These methods use a combination of heuristics and …
specific level of inter-element continuity. These methods use a combination of heuristics and …
Geometric continuity of parametric curves: constructions of geometrically continuous splines
Some observations are made concerning the source and nature of shape parameters. It is
then described how Bezier curve segments can be stitched together with G/sup 1/or G/sup …
then described how Bezier curve segments can be stitched together with G/sup 1/or G/sup …
A refineable space of smooth spline surfaces of arbitrary topological genus
U Reif - Journal of Approximation Theory, 1997 - Elsevier
It is shown that parametrical smoothness conditions are sufficient for modeling smooth
spline surfaces of arbitrary topology if degenerate surface segments are accepted. In …
spline surfaces of arbitrary topology if degenerate surface segments are accepted. In …
Smooth, easy to compute interpolating splines
JD Hobby - Discrete & computational geometry, 1986 - Springer
We present a system of interpolating splines with first-order and approximate second-order
geometric continuity. The curves are easily computed in linear time by solving a diagonally …
geometric continuity. The curves are easily computed in linear time by solving a diagonally …
[图书][B] Geometric continuity: a parametrization independent measure of continuity for computer aided geometric design (curves, surfaces, splines)
AD DeRose - 1985 - search.proquest.com
Parametric spline curves and surfaces are typically constructed so that some number of
derivatives match where the curve segments or surface patches abut. If derivatives up to …
derivatives match where the curve segments or surface patches abut. If derivatives up to …