Quantitative Straightening of Distance Spheres
نویسندگان
چکیده
We study “distance spheres”: the set of points lying at constant distance from a fixed arbitrary subset $K$ $[0,1]^d$. show that, away regions where is “too dense” and small volume, we can decompose $[0,1]^d$ into finite number sets on which spheres be “straightened” subsets parallel $(d-1)$-dimensional planes by bi-Lipschitz map. Importantly, constants are independent $K$.
منابع مشابه
Fast Distance Computation Between a Point and Cylinders, Cones, Line-Swept Spheres and Cone-Spheres
متن کامل
Straightening Caenorhabditis elegans images
MOTIVATION Caenorhabditis elegans, a roundworm found in soil, is a widely studied model organism with about 1000 cells in the adult. Producing high-resolution fluorescence images of C.elegans to reveal biological insights is becoming routine, motivating the development of advanced computational tools for analyzing the resulting image stacks. For example, worm bodies usually curve significantly ...
متن کاملStraightening and Partitioning Shapes
A method for partitioning shapes is described based on a global convexity measure. Its advantages are that its global nature makes it robust to noise, and apart from the number of partitioning cuts no parameters are required. In order to ensure that the method operates correctly on bent or undulating shapes a process is developed that identifies the underlying bending and removes it, straighten...
متن کاملStraightening C. elegans Images
Motivation: C. elegans, a roundworm found in soil, is a widely studied model organism with about 1000 cells in the adult. Producing high-resolution fluorescence images of C. elegans to reveal biological insights is becoming routine, motivating the development of advanced computational tools for analyzing the resulting image stacks. For example worm bodies usually curve significantly in images. ...
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: Real analysis exchange
سال: 2023
ISSN: ['1930-1219', '0147-1937']
DOI: https://doi.org/10.14321/realanalexch.48.1.1626760923