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Curves and surfaces in computer aided geometric design - Yamaguchi F.

Yamaguchi F. Curves and surfaces in computer aided geometric design - Tokyo, 1988. - 390 p.
Download (direct link): curvesandsurfacesincomputer1988.djvu
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238) Schumaker, L. L.: “Fitting Surfaces to Scattered Data”, In Approximation Theory II (G.G. Lorentz, C.K. Chui and L. L. Schumaker, eds.), Academic Press, 1976.
239) Spath, H.: “Spline Algorithms for Curves and Surfaces”, Utilitas Mathematica Publishing Inc., Winnipeg, Canada, 1974.
240) Shephard, D.: “A Two-dimensional Interpolation Function for Irregularly Spaced Data”, Proc. ACM National Conference, 517-524, 1968.
241) Varah, J. M.: “On the Condition Number of Local Bases for Piecewise Cubic Polynomials”, Mathematics of Computation, 31, 137, 37-44, 1977.
242) Veron, Ì., G. Ris, and J. P. Musse: “Continuity of Biparametnc Surface Patches”, Computer-aided Design, 8, 4, 267-273, 1976.
243) Woodsford, P.A.: “Computer programs for curve and surface manipulation”, Bell Telephone Labs. Holmdel, New Jersey, Summer 1970.
244) Woodsford, P. A.: “Mathematical methods in computer graphics-a survey”, Computer Graphics Symposium, 234-253, Berlin 1971.
245) Wilson, H.B., and D. S. Farrior: “Computation of Geometrical and Inertial Properties for General Areas and Volumes of Revolution”, Computer-Aided Design, 8, 4, 257-263, 1976.
246) Walker, L.F.: “Curved Surfaces in Shipbuilding Design and Production”, In Curved Surfaces in Engineering (proc. Conference at Churchill College, Cambridge, 1972), IPC Science and Technology Press, 1972.
247) Walter, H.: “Computer-Aided Design in the Aircraft Industry”, In Computer-Aided Design (J. Vlietstra and R.F. Wielinga, eds.), North-Holland Publishing Co., 1973.
248) Wielinga, R.F.: “Constrained Interpolation using Bezier Curves as a New Tool in
374
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249) Yamaguchi, F.: “A new Curve Fitting Method Using a CRT Computer Display”, Comput. Graphics Image Processing, 7(3): 425-437, June 1978.
250) Yamaguchi, F.: “A method of designing free form shapes by computer display”, (3rd Report) (in Japanese), Precision Machinery 43(10), 1977.
251) Yuille, I. Ì.: “Ship Design”, In Curved Surfaces in Engineering (proc. Conference at Churchill College, Cambridge, 1972), IPC Science and Technology Press Ltd., 1972.
Books
252) Kazuto, Togino: Automatic Design Methods (in Japanese) Corona Sha, 1969.
253) Hosaka, Ì.: Computer Graphics (in Japanese) Sangyo Tosho, 1974.
254) Yamaguchi, Fujio: Computer Graphics (Japanese translation of reference 261), Nikkan Kogyo Shimbun Sha.
255) Yamaguchi, Fujio: Graphics Processing Engineering (in Japanese) Nikkan Kogyo Shimbun Sha, 1981.
256) Yamaguchi, Fujio: Introduction to CAD/CAM (in Japanese) Kogyo Chosa Kai, 1982.
257) Sakurai, Akira: Introduction to Spline Functions (in Japanese) Tokyo Electrotechnical University, 1981.
258) Bezier, P • “Numerical Control-Mathematics and Applications”, John Wiley & Sons, 1972.
259) Barnhill, R., and R. Riesenfeld: “Computer Aided Geometric Design”, Academic Press, 1974.
260) Prenter, P.: “Splines and Variational Methods”, John Wiley & Sons, 1975.
261) Rogers, D., and J. Adams: “Mathematical Elements for Computer Graphics”, McGraw-Hill, 1976.
262) Davis, P.: “Interpolation & Approximation”, Dover Publications, 1963.
263) Chasen, S.: “Geometric Principles and Procedures for Computer Graphic Applications”, Prentice-Hall, 1978.
264) Giloi, W.: “Interactive Computer Graphics”, Prentice Hall, 1978.
265) Newman, W., and R. Sproull: “Principles of Interactive Computer Graphics” (2nd edition), McGraw-Hill, 1979.
266) Freeman, H.: “Interactive Computer Graphics”, IEEE Computer Society, 1980.
267) Liming, R.: “Mathematics for Computer Graphics”, Aero Publishers, 1979.
268) Brodlie, K.: “Mathematical Methods in Computer Graphics and Design”, Academic Press, 1980.
269) Faux, I., and M.Pratt: “Computational Geometry for Design and Manufacture”, Ellis Horwood, 1979.
270) DeBoor, C.: “A Practical Guide to Splines”, Applied Mathematical Sciences, Vol. 27, Springer-Verlag, 1978.
271) Goos, G., and J.Hartmams: “Computer Aided Design, Modelling, Systems Engineering, CAD-Systems”, Lecture Notes in Computer Science, No. 89, Springer-Verlag, 1980.
272) Schumaker, L.: “Spline Functions: Basic Theory”, John Wiley & Sons, 1981.
273) Foley, J., and A. van Dam: “Fundamentals of Interactive Computer Graphics”, Addison-Wesley, 1982.
Subject Index
Acceleration normal 27 tangential 27 Adini’s method 118,119 Approximation Bernstein- 169-232 B-spline- 233-336 APT system 3
Area of a surface 42, 43, 47, 48
Bernoulli-Euler law 135 Bernstein approximation 169-232 derivatives 190 properties 189-193 smoothing effect 193 Bernstein basis function 183, 189 193 Bernstein basis vector 195 Bernstein polynomial Bezier curve segment 169-232 connection 213,214 derivatives 198, 199 finite difference representation 194, 195 increase of degree 204-209 partitioning 209-212 various representation 193-198 Bezier net 217 Bezier polygon 173 Bezier surface patch 216-232 connection 221-226 Bilinear transformation 36 Binomial expansion 182, 183 Binormal vector, unit- 28 Blending function 77 Boundary condition matrix 111 B-spline curve segment 233-334 derivatives 309-311
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