منابع مشابه
Unwrapping Curves from Cylinders and Cones
Now imagine the elliptical cross section replaced by any curve lying on the surface of a right circular cylinder. What happens to this curve when the cylinder is unwrapped? Consider also the inverse problem, which you can experiment with by yourself: Start with a plane curve (line, circle, parabola, sine curve, etc.) drawn with a felt pen on a rectangular sheet of transparent plastic, and roll ...
متن کاملThe Kepler Problem: Orbit Cones and Cylinders
Planetary orbits, being conic sections, may be obtained as the locus of intersection of planes and cones. The planes involved are familiar to anyone who has studied the classical Kepler problem. We focus here on the cones.
متن کاملExtraction of cylinders and cones from minimal point sets
We propose new algebraic methods for extracting cylinders and cones from minimal point sets, including oriented points. More precisely, we are interested in computing efficiently cylinders through a set of three points, one of them being oriented, or through a set of five simple points. We are also interested in computing efficiently cones through a set of two oriented points, through a set of ...
متن کاملGeometric least-squares fitting of spheres, cylinders, cones and tori
This paper considers a problem arising in the reverse engineering of boundary representation solid models from three-dimensional depth maps of scanned objects. In particular, we wish to identify and fit surfaces of known type wherever these are a good fit, and we briefly outline a segmentation strategy for deciding to which surface type the depth points should be assigned. The particular contri...
متن کاملOn Positive Harmonic Functions in Cones and Cylinders
We first consider a question raised by Alexander Eremenko and show that if Ω is an arbitrary connected open cone in Rd , then any two positive harmonic functions in Ω that vanish on ∂Ω must be proportional -an already known fact when Ω has a Lipschitz basis or more generally a John basis. It is also shown however that when d ≥ 4, there can be more than one Martin point at infinity for the cone ...
متن کاملذخیره 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: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2018
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201610_012