Spline Approximation, Part 2: From Polynomials in the Monomial Basis to B-splines—A Derivation
Mathematics, 2021 In a series of three articles, spline approximation is presented from a geodetic point of view. In part 1, an introduction to spline approximation of 2D curves was given and the basic methodology of spline approximation was demonstrated using splines ...
Nikolaj Ezhov +2 more
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3D Reconstruction Using Cubic Bezier Spline Curves and Active Contours (Case Study) [PDF]
Iranian Journal of Medical Physics, 2012 Introduction 3D reconstruction of an object from its 2D cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering.
Atefeh Foroozandeh +4 more
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Construction of B-spline surface from cubic B-spline asymptotic quadrilateral
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017 Asymptote is widely used in astronomy, mechanics, architecture and relevant subjects. In this paper, by analyzing the Frenet frame and the Darboux frame of a curve on the surface, the necessary and sufficient conditions for a quadrilateral boundary being
Hui WANG, Chun-Gang ZHU, Cai-Yun LI
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Mathematics, 2022 Cranial implants, especially custom made implants, are complex, important and necessary in craniofacial fracture restoration surgery. However, the classical procedure of the manual design of the implant is time consuming and complicated.
Abdul Majeed +2 more
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Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space
Journal of Mathematical Sciences and Modelling, 2018 The intention of this article is to study on timelike uniform B-spline curves in Minkowski-3 space. In our paper, we take the control points of uniform B-spline curves as a timelike point in Minkowski-3 space.
Hatice Kuşak Samancı
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Cubic B-spline curve approximation by curve unclamping [PDF]
Computer-Aided Design, 2010 A new approach for cubic B-spline curve approximation is presented. The method produces an approximation cubic B-spline curve tangent to a given curve at a set of selected positions, called tangent points, in a piecewise manner starting from a seed segment. A heuristic method is provided to select the tangent points.
Xiao-Diao Chen +2 more
openaire +4 more sources
Application and Realization of the Computer Animation Design Based on Improved Cubic B-spline Curves
MATEC Web of Conferences, 2015 Based on the application of the cubic B-spline curves in the computer animation design, taking into account the security and confidentiality of the information, this paper improves the animation design techniques by the use of the improved cubic B-spline
Ni Na
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Dual generalized B-spline functions and their applications in several approximation problems
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2015 A new construction method of dual generalized B-spline functions is presented in this paper. Due to the importance of generalized B-splines, several interesting applications of these dual functions in Computer Aided Manufacturing are also given.
Li ZHANG +3 more
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Parametric Generation of Small Ship Hulls with CAD Software
Journal of Marine Science and Engineering, 2023 CAD software is a daily tool in ship design offices and shipyards, and every software uses NURBS or B-splines curves and surfaces as common foundations.
Francisco Pérez-Arribas
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A novel shape optimization method using knot insertion algorithm in B-spline and its application to transonic airfoil design [PDF]
, 2011 A new method using the cubic B-spline curves with nominal uniform knot set to parameterize the geometry is proposed to deal with shape optimization problems.
Xu, B. +4 more
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