Surface patches with rounded corners

نویسندگان

چکیده

We analyze surface patches with a corner that is rounded in the sense partial derivatives at point are antiparallel. Sufficient conditions for $G^1$ smoothness given, which, up to certain degenerate case, also necessary. Further, we investigate curvature integrability and present examples

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Construction of G2 rounded corners with Pythagorean-hodograph curves

The problem of designing smoothly rounded right–angle corners with Pythagorean–hodograph (PH) curves is addressed. AG corner can be uniquely specified as a single PH cubic segment, closely approximating a circular arc. Similarly, a G corner can be uniquely constructed with a single PH quintic segment having a unimodal curvature distribution. To obtain G corners incorporating shape freedoms that...

متن کامل

Andreev bound states in rounded corners of d-wave superconductors

Andreev bound states at boundaries of d-wave superconductors are strongly influenced by the boundary geometry itself. In this work, the zero-energy spectral weight of the local quasiparticle density of states is presented for the case of wedge-shaped boundaries with rounded corners. Generally, both orientation of the d-wave and the specific local reflection properties of the rounded wedges dete...

متن کامل

Free Form Surface Design with A-Patches·

We present a sufficient criterion for the Bernstein-Bezier (BB) form of a trivariate polynomial within a tetrahedron, such that the real zero contour of the polynomial defines a smooth and single sheeted algebraic surface patch. We call this an A-patch. We present algorithms to build a mesh of cubic A-patches to interpolate a given set of scattered point data in three dimensions, respecting the...

متن کامل

Toric Surface Patches

We define a toric surface patch associated with a convex polygon, which has vertices with integer coordinates. This rational surface patch naturally generalizes classical Bézier surfaces. Several features of toric patches are considered: affine invariance, convex hull property, boundary curves, implicit degree and singular points. The method of subdivision into tensor product surfaces is introd...

متن کامل

Free-Form Modeling with Implicit Surface Patches

While it is possible to model a general closed surface of arbitrary genus as a single implicit surface patch, the geometry of such a global surface is di cult to specify, interactively control, and polygonize. The main di culties stem from the fact that implicit representations are iso-contours which generally have multiple real sheets, self{intersections and several other undesirable singulari...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Computer Aided Geometric Design

سال: 2022

ISSN: ['0167-8396', '1879-2332']

DOI: https://doi.org/10.1016/j.cagd.2022.102134