In this chapter, several basic concepts of conic integral geometry theory are introduced. We begin with the kinematic formula for cones which is the probability that a randomly rotated convex cone shares a ray with a fixed convex cone. This formula plays a vital role in characterizing the success or failure probability of an estimation problem.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Information Science and TechnologyShanghai Tech UniversityShanghaiChina
  2. 2.School of Information Science and TechnologyShanghaiTech UniversityShanghaiChina
  3. 3.Department of Electronic & Information EngineeringHong Kong Polytechnic UniversityKowloonHong Kong

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