Barcode scanning and digitizing technology incorporated in the tip of a white cane for the blind, which houses barcode reader, sonar, color sensory and audio production mechanisms. Apparatus detects and announces via audio or vibratory output, obstacles, drop-offs, colors or suitable informational barcode sites placed with a plurality of locations or environments for assisting blind or visually impaired users to navigate. In one embodiment, the apparatus combines the white cane with a barcode scanner and decoder with laser depth finding capacity in the cane tip, an sonar technology within the cane housing; and a separate hand-held unit having color and standard UPC barcode scanners, both the cane and the hand-held unit being connected to the audio output device by a hard-wire or wireless connection. The audio production unit can be pocket or purse carried and emits verbal information via respective barcodes suitable for either component or announces color when the respective scanner is used; hand-held color/barcode scanner or cane can be used separately or simultaneously.

 
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> Method for sparse data two-stage stochastic mensuration

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