With the development of Holographic PIV (HPIV) and PIV Cinematography
(PIVC), the need for a computationally efficient algorithm capable of
processing images at video rates has emerged. This paper presents one
such algorithm, sparse array image correlation. This algorithm is base
d on the sparse format of image data-a format well suited to the stora
ge of highly segmented images. Ir utilizes art image compression schem
e that retains pixel values in high intensity gradient areas eliminati
ng low information background regions. The remaining pixels are stored
in sparse format along with their relative locations encoded into 32
bit words. The result is a highly reduced image data set that retains
the original correlation information of the image. Compression ratios
of 30:1 using this method are typical. As a result, far fewer memory c
alls and data entry comparisons are required to accurately determine t
race particle movement. In addition, by utilizing art error correlatio
n function, pixel comparisons are made through single integer calculat
ions eliminating time consuming multiplication and floating point arit
hmetic. Thus, this algorithm typically results in much higher correlat
ion speeds and lower memory requirements than spectral and image shift
ing correlation algorithms. This paper describes the methodology of sp
arse array con elation as well as the speed, accuracy, and limitations
of this unique algorithm. While the study presented here focuses on t
he process of correlating images stored in sparse format, the details
of an image compression algorithm based on intensity gradient threshol
ding is presented and its effect on image correlation is discussed to
elucidate the limitations and applicability of compression based PIV p
rocessing.