922 research outputs found
An Automated Algorithm for Approximation of Temporal Video Data Using Linear B'EZIER Fitting
This paper presents an efficient method for approximation of temporal video
data using linear Bezier fitting. For a given sequence of frames, the proposed
method estimates the intensity variations of each pixel in temporal dimension
using linear Bezier fitting in Euclidean space. Fitting of each segment ensures
upper bound of specified mean squared error. Break and fit criteria is employed
to minimize the number of segments required to fit the data. The proposed
method is well suitable for lossy compression of temporal video data and
automates the fitting process of each pixel. Experimental results show that the
proposed method yields good results both in terms of objective and subjective
quality measurement parameters without causing any blocking artifacts.Comment: 14 Pages, IJMA 201
Universal attraction force-inspired freeform surface modeling for 3D sketching
This paper presents a novel freeform surface modeling method to construct a freeform surface from 3D sketch. The approach is inspired by Newtonâs universal attraction force law to construct a surface model from rough boundary curves and unorganized interior characteristic curves which may cross the boundary curves or not.
Based on these unorganized curves, an initial surface can be obtained for conceptual design and it can be improved later in a commercial package. The approach has been tested with examples and it is capable of dealing with unorganized design curves for surface modeling
On the Two-View Geometry of Unsynchronized Cameras
We present new methods for simultaneously estimating camera geometry and time
shift from video sequences from multiple unsynchronized cameras. Algorithms for
simultaneous computation of a fundamental matrix or a homography with unknown
time shift between images are developed. Our methods use minimal correspondence
sets (eight for fundamental matrix and four and a half for homography) and
therefore are suitable for robust estimation using RANSAC. Furthermore, we
present an iterative algorithm that extends the applicability on sequences
which are significantly unsynchronized, finding the correct time shift up to
several seconds. We evaluated the methods on synthetic and wide range of real
world datasets and the results show a broad applicability to the problem of
camera synchronization.Comment: 12 pages, 9 figures, Computer Vision and Pattern Recognition (CVPR)
201
Comments on event driven animation
Event driven animation provides a general method of describing controlling values for various computer animation techniques. A definition and comments are provided on genralizing motion description with events. Additional comments are also provided about the implementation of twixt
Assessment criteria for 2D shape transformations in animation
The assessment of 2D shape transformations (or morphing) for animation is a difficult task because it is a multi-dimensional problem. Existing morphing techniques pay most attention to shape information interactive control and mathematical simplicity. This paper shows that it is not enough to use shape information alone, and we should consider other factors such as structure, dynamics, timing, etc. The paper also shows that an overall objective assessment of morphing is impossible because factors such as timing are related to subjective judgement, yet local objective assessment criteria, e.g. based on shape, are available. We propose using âarea preservationâ as the shape criterion for the 2D case as an acceptable approximation to âvolume preservationâ in reality, and use it to establish cases in which a number of existing techniques give clearly incorrect results. The possibility of deriving objective assessment criteria for dynamics simulations and timing under certain conditions is discussed
Frame to frame interpolation for high-dimensional data visualisation using the woylier package
The woylier package implements tour interpolation paths between frames using
Givens rotations. This provides an alternative to the geodesic interpolation
between planes currently available in the tourr package. Tours are used to
visualise high-dimensional data and models, to detect clustering, anomalies and
non-linear relationships. Frame-to-frame interpolation can be useful for
projection pursuit guided tours when the index is not rotationally invariant.
It also provides a way to specifically reach a given target frame. We
demonstrate the method for exploring non-linear relationships between currency
cross-rates
Uniform accelerated motions
An Affine matrix which maps an initial and final pose can be computed by solving a system of linear equations.
Then there exists an interesting problem of finding a time varying affinity which maps the given set of poses
and if it exists is always unique and should hold some interesting properites such as affine-invariant, reversible,
preserve rigidity, similarities and volume. The Steady Affine Motions and Morphs (SAM) introduced by Jarek
Rossignac and Alvar Vinacua solved this problem of time varying affinity and defines the quality of such affinity
by the term steadiness. Until SAM, no mathematical definition of steadiness was available and intuitively SAM
defined a steady animation to be continuous, to vary dimensions and angles monotonically and rather uniformly,
and to move points along pleasing arcs that are free of unnecessary kinks or loops. The authors defined the term
âSteadyâ as a constant velocity motion in the local moving frame. SAM creates pleasing in-betweening motions
that interpolates between an initial and final pose, B and C and the derived equation of beauty was At B with
A = C B·-1. SAM is affine-invariant, reversible, preserves isometries (i.e., rigidity), similarities and volume.
Previously proposed approaches came up with a solution for the time varying affinity problem, but there was no
proper definition of how beautiful or how good the motion was. With the advent of SAM, the beauty of a motion
can now be measured by the unsteadiness and Steady Affine motions and morphs is the one solution which comes
to have a value of zero for the unsteadiness term.
Uniform Accelerated Motions (UAM) carries forward the above definition of steadiness into a constant acceleration
motion in the local moving frame. The time varying affinity At is computed using closed form expressions
and some of its interesting properties are studied. The constant acceleration motion (in local frame) in UAM is
then compared with the constant velocity motion (in local frame) of SAM and the resuls are discussed
- âŠ