Rudrusamy, Gobithaasan
(2010)
The Development Of Planar Curves With
High Aesthetic Value.
PhD thesis, Universiti Sains Malaysia.
Abstract
Penyelidikan terhadap lengkung satah bagi menghasilkan suatu produk yang can-
tik dan pengubahsuaian lengkung bagi bidang tertentu telah dibangunkan sejak tahun
70-an. Pola penyelidikan dalam bidang ini boleh dibahagikan kepada lima cabang utama
iaitu pembangungan algoritma adil, pembangunan lengkung satah melalui kaedah sintesis
lengkung, pembangunan algoritma baru bagi mengubahsuai lingkaran asli untuk kegua-
naan reka bentuk, pengubahsuaian lengkung °eksibel (B¶ezier dan NURBS) supaya pro¯l
kelengkungan adalah monoton dan akhirnya, pembangungan algoritma dalam proses pe-
myuaian dan penghampiran terhadap lingkaran asli menerusi lengkung °eksibel.
The research on developing planar curves to produce visually pleasing products and
modifying planar curves for special purposes has been progressing since the 1970s. The
pattern of research in this ¯eld of study has branched to ¯ve major groups; the devel-
opment of fairing algorithms; the development of planar curves via curve synthesis, the
development of algorithms to modify natural spirals to suit design intent, the modi¯cation
of °exible curves (B¶ezier and NURBS) so that the curvature pro¯le is strictly monotonic
and ¯nally, the development of algorithms to ¯t natural spirals and approximation via
°exible curves.
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