Calibration-free Augmented Reality - Chair for Computer Aided ...

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Mathematical foundations (Kutulakos & Vallino) camera coordinate system P image plane O world coordinate system Accurate projection of a virtual object requires knowing precisely the combined effect of the object-to-world (O),( world-to-camera (C),( camera-to- image (P)( ) transformations 21.01.2005 Calibration-free Augmented Reality 12 C
Projection in homogeneous coordinates: Matrix modelling the object's projection onto the image plane Object-to-world transformation matrix Its projection Point on the virtual object World-to-camera transformation matrix 21.01.2005 Calibration-free Augmented Reality 13
Page 1 and 2: Calibration-free Augmented Reality
Page 3 and 4: Examples Video seethrough example o
Page 5 and 6: No calibration Goal: - Find a way t
Page 7 and 8: What's possible anyway? - Shown pic
Page 9 and 10: II. Main part Marker design Mathema
Page 11: Version two (by Möhring, Lessing,
Page 15 and 16: 2. Allows the elements of the proje
Page 17 and 18: Re-Projection Property When the pro
Page 19 and 20: Projection example: Depth informati
Page 21 and 22: Application Previous section: Affin
Page 23 and 24: - Entire projection process: 4x4 ho
Page 25 and 26: Movies 21.01.2005 Calibration-free
Page 27 and 28: Problems: - Low resolution of live
Page 29 and 30: Finding the base points - Marker de
Page 31 and 32: - Compute slope of the line that co
Page 33 and 34: Perspective Rendering - Geometry ha
Page 35 and 36: Another simplification… 21.01.200
Page 37 and 38: Materials and Method Flat-panel mon
Page 39 and 40: Embodiment of RTTR - Original appar
Page 41 and 42: III. Conclusion 21.01.2005 Calibrat
Page 43 and 44: References / Papers II G. Stetten,
Page 45: Thanks for your attention! 21.01.20

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